What Range of Speeds Can an Object Have Before a String Breaks?

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Homework Help Overview

The problem involves a mass attached to a string rotating in a circular motion on a horizontal table, with a focus on determining the range of speeds before the string breaks. The subject area includes concepts from mechanics, specifically tension and circular motion.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relationship between tension in the string and the maximum load it can support, questioning how to incorporate the mass of the rotating object into their calculations. There is an exploration of the definition of "hanging load" and its implications for the problem.

Discussion Status

The discussion is ongoing, with participants attempting to clarify concepts and explore the relationship between tension and speed. Some guidance has been provided regarding the maximum tension allowed, but no consensus or resolution has been reached yet.

Contextual Notes

Participants are working under the constraint that the string can support a specific load before breaking, and there is a need to reconcile the mass of the rotating object with the tension limits imposed by the hanging load definition.

shawli
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Homework Statement



A light string can support a stationary hanging load of 25.0kg before breaking. An object of mass m = 3.00kg attached to the string rotates on a frictionless, horizontal table in a circle of radius r = 0.800m, and the other end of the string is held fixed. What range of speeds can the object have before the string breaks?

Homework Equations



F = (m*v^2)/r


The Attempt at a Solution



I seem to only be able to solve this question in terms of F. As in, the max velocity can be:

v = (F*0.800/25)^0.5

Yet there is an actual numeric answer to this question.

I'm not sure what to do with the '3.0kg' given. Any hints would be appreciated!
 
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when you spin this 3kg mass, there is a certain amount of tension in the string. The tension in the string cannot exceed 25kg * gravity. So what is the maximum speed you can spin a mass of 3kg so the tension in the string doesn't exceed 25kg * gravity?
 
Ohh, this is the definition of "hanging load"? I understand now! Thank you.
 
shawli said:
Ohh, this is the definition of "hanging load"? I understand now! Thank you.

You're very welcome:smile:
 

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